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Finding the Third Proportional to 14,995.13 and 32,065.88

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Solution

The third proportional to 14,995.13 and 32,065.88 is: 68,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,995.13 : 32,065.88 = 32,065.88 : x
  2. Step 2: Convert to fraction form
    14,995.13/32,065.88 = 32,065.88/x
  3. Step 3: Cross multiply
    14,995.13x = 32,065.88 × 32,065.88
  4. Step 4: Simplify right side
    14,995.13x = 1,028,220,339.52
  5. Step 5: Solve for x
    x = 1,028,220,339.52/14,995.13
  6. Step 6: Final answer
    x = 68,570.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.